534978736058880 has 1280 divisors, whose sum is σ = 2004126020582400. Its totient is φ = 135071158763520.

The previous prime is 534978736058869. The next prime is 534978736058887. The reversal of 534978736058880 is 88850637879435.

534978736058880 is a `hidden beast` number, since 5 + 3 + 497 + 8 + 73 + 6 + 0 + 58 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 534978736058880.

It is not an unprimeable number, because it can be changed into a prime (534978736058887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41206088869 + ... + 41206101851.

It is an arithmetic number, because the mean of its divisors is an integer number (1565723453580).

Almost surely, 2^{534978736058880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534978736058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002063010291200).

534978736058880 is an abundant number, since it is smaller than the sum of its proper divisors (1469147284523520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

534978736058880 is a wasteful number, since it uses less digits than its factorization.

534978736058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13442 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 9754214400, while the sum is 81.

The spelling of 534978736058880 in words is "five hundred thirty-four trillion, nine hundred seventy-eight billion, seven hundred thirty-six million, fifty-eight thousand, eight hundred eighty".